Have you seen our district lines in this country? One of the underdiscussed problems with gerrymandering is that, in addition to being undemocratic in the obvious ways, it obscures who your representatives are -- especially if you live in a city. Take a look at the US district map around Austin. There is no "rep from Austin" just a crapshoot about which bizzarely-shaped rural district your random part of the city is attached to to nullify your vote. This is repeated all over the country to various degrees and state house districts are even smaller and often weirder.
I agree with you on governors and senators but it's very easy not to learn who your other representatives are, because it requires close attention to detailed street by street maps that change every census.
A fair point! Both states I've lived in so far have not been gerrymandering-battleground states so I haven't had that problem.
I'm willing to take a softer stance than OP's start and be okay with just knowing basically any of your representatives i.e. some combination of your two senators and one or more representatives.